Mittag-Leffler modules

DOI10.1016/S0168-0072(97)00024-9zbMath0916.16004MaRDI QIDQ1377646

Philipp Rothmaler

Publication date: 27 May 1999

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

zbMATH Keywords

regular ringscoherent ringspure-projective modulesMittag-Leffler modulesself-injective ringspure-semisimple ringsatomic structuressaturated structures\(\Sigma\)-pure-injective moduleselementary dualitiespositive primitive formulastheories of modules

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Other classes of modules and ideals in associative algebras (16D80) Applications of logic in associative algebras (16B70)

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Kaplansky classes, finite character and ℵ1-projectivity, Unnamed Item, Almost free modules and Mittag-Leffler conditions., Model category structures arising from Drinfeld vector bundles, Strict Mittag-Leffler modules and purely generated classes, Strict Mittag-Leffler modules, Mittag-Leffler modules and definable subcategories, Mittag-Leffler modules and semi-hereditary rings, Torsion-free, Divisible, and Mittag-Leffler Modules

Cites Work

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